Review Article: Graph Colouring and Applications

Authors

  • Faiza Shujat Department of Mathematics, Taibah University, Madinah KSA
  • Abu Zaid Ansari Department of Mathematics, Faculty of Science, Islamic University of Madinah, Saudi Arabia

DOI:

https://doi.org/10.29169/1927-5129.2025.21.02

Keywords:

Graph, adjacency matrix, graph isomorphism, coloring, chromatic number

Abstract

In this article, we present fundamental concept of graph theory and its application in real life. Section 1 deals with the basic definitions and literature review. In Section 2, we describe the algebraic properties of graph. The last section is dedicated to the colouring pattern of graph and its applications. All the information given in this article based on the references [1-8] and the references therein.

References

Bondy JA, Murty USR. Graph theory with applications, Elsevier Science Publishing Co., Inc., 1976.

Harary F. Graph Theory, Addison-Wesley Publishing Company 1969.

Trudeau RJ. Introduction to Graph Theory, Dover publication INC, New York 1993.

Biggs N. Algebraic Graph Theory, Cambridge Mathematical Library 1994.

Godsil C, Royle GF. Algebraic Graph Theory, Springer, 2001.

Ruohonen K. Graph Theory, Tampere University of Technology 2008.

Gross JL, Yellen J, Anderson M. Graph Theory and Its Applications, CRC Taylor and Francis 2023.

Rosen KH. Discrete Mathematics and Its Applications, Eighth edition, New York, NY: McGraw-Hill, 2019.

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Published

2025-01-21

Issue

Section

Mathematics

How to Cite

Review Article: Graph Colouring and Applications. (2025). Journal of Basic & Applied Sciences, 21, 7-22. https://doi.org/10.29169/1927-5129.2025.21.02

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